Search a number
-
+
200113231342200 = 23352112191011436363
BaseRepresentation
bin101101100000000001111110…
…000100011010101001111000
3222020112122020011101020010020
4231200001332010122221320
5202212123344210422300
61545334425510050440
760102463264663641
oct5540017604325170
9866478204336106
10200113231342200
11588425aa173700
121a53b350349a20
13878779b07c497
14375b7640306c8
15182060ebc68a0
hexb6007e11aa78

200113231342200 has 576 divisors, whose sum is σ = 724868561692800. Its totient is φ = 45503948160000.

The previous prime is 200113231342151. The next prime is 200113231342217. The reversal of 200113231342200 is 2243132311002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138601219 + ... + 140037581.

It is an arithmetic number, because the mean of its divisors is an integer number (1258452364050).

Almost surely, 2200113231342200 is an apocalyptic number.

200113231342200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200113231342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362434280846400).

200113231342200 is an abundant number, since it is smaller than the sum of its proper divisors (524755330350600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200113231342200 is a wasteful number, since it uses less digits than its factorization.

200113231342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436524 (or 1436504 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 200113231342200 its reverse (2243132311002), we get a palindrome (202356363653202).

The spelling of 200113231342200 in words is "two hundred trillion, one hundred thirteen billion, two hundred thirty-one million, three hundred forty-two thousand, two hundred".